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Finding the Third Proportional to 126,571.50 and 178,014.38

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Solution

The third proportional to 126,571.50 and 178,014.38 is: 250,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,571.50 : 178,014.38 = 178,014.38 : x
  2. Step 2: Convert to fraction form
    126,571.50/178,014.38 = 178,014.38/x
  3. Step 3: Cross multiply
    126,571.50x = 178,014.38 × 178,014.38
  4. Step 4: Simplify right side
    126,571.50x = 31,689,117,706.64
  5. Step 5: Solve for x
    x = 31,689,117,706.64/126,571.50
  6. Step 6: Final answer
    x = 250,365.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.